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Finding the Third Proportional to 4,542,834 and 10,007,448

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Solution

The third proportional to 4,542,834 and 10,007,448 is: 22,045,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,834 : 10,007,448 = 10,007,448 : x
  2. Step 2: Convert to fraction form
    4,542,834/10,007,448 = 10,007,448/x
  3. Step 3: Cross multiply
    4,542,834x = 10,007,448 × 10,007,448
  4. Step 4: Simplify right side
    4,542,834x = 100,149,015,472,704
  5. Step 5: Solve for x
    x = 100,149,015,472,704/4,542,834
  6. Step 6: Final answer
    x = 22,045,493.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.